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Finding the Fourth Proportional to 5,051.86, 6,971.07 and 2,813.65

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Solution

The fourth proportional to 5,051.86, 6,971.07 and 2,813.65 is: 3,882.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,051.86 : 6,971.07 = 2,813.65 : x
  2. Step 2: Convert to fraction form
    5,051.86/6,971.07 = 2,813.65/x
  3. Step 3: Cross multiply
    5,051.86x = 6,971.07 × 2,813.65
  4. Step 4: Simplify right side
    5,051.86x = 19,614,151.11
  5. Step 5: Solve for x
    x = 19,614,151.11/5,051.86
  6. Step 6: Final answer
    x = 3,882.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.